Question
write 3w+1<22 in set notation
Answers
GPT-4o mini
To express the inequality \(3w + 1 < 22\) in set notation, we first solve for \(w\).
1. Subtract 1 from both sides:
\[
3w < 21
\]
2. Divide both sides by 3:
\[
w < 7
\]
Now, in set notation, the solution can be expressed as:
\[
\{ w \in \mathbb{R} \mid w < 7 \}
\]
This means "the set of all real numbers \(w\) such that \(w\) is less than 7."
1. Subtract 1 from both sides:
\[
3w < 21
\]
2. Divide both sides by 3:
\[
w < 7
\]
Now, in set notation, the solution can be expressed as:
\[
\{ w \in \mathbb{R} \mid w < 7 \}
\]
This means "the set of all real numbers \(w\) such that \(w\) is less than 7."